{"product_id":"generalized-functions-and-partial-differential-equations-dover-books-on-mathematics","title":"Generalized Functions and Partial Differential Equations (Dover Books on Mathematics)","description":"\u003ch3\u003eBook Details\u003c\/h3\u003e\n\u003cul\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eAuthor\u003c\/strong\u003e: Avner Friedman\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eBrand\u003c\/strong\u003e: Dover\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eEdition\u003c\/strong\u003e: Illustrated\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eBinding\u003c\/strong\u003e: Paperback\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eNumber of Pages\u003c\/strong\u003e: 352\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eRelease Date\u003c\/strong\u003e: 10-12-2005\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eISBN\u003c\/strong\u003e: 9780486446103\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003ePackage Dimensions\u003c\/strong\u003e: 8.4 x 5.4 x 0.8 inches\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eLanguages\u003c\/strong\u003e: English\u003c\/p\u003e\n\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003chr\u003e\n\u003ch3\u003eAbout the Book\u003c\/h3\u003e\n\u003cp\u003e\u003cstrong\u003e\"Generalized Functions and Distributions\"\u003c\/strong\u003e by \u003cstrong\u003eAvner Friedman\u003c\/strong\u003e is a comprehensive and self-contained text that introduces the theory of \u003cstrong\u003egeneralized functions\u003c\/strong\u003e and \u003cstrong\u003edistributions\u003c\/strong\u003e, while exploring their wide applications in solving partial differential equations. This book is based on the influential works of \u003cstrong\u003eL. Schwartz\u003c\/strong\u003e, who pioneered the theory of distributions, and \u003cstrong\u003eGelfand and Shilov\u003c\/strong\u003e, who expanded on generalized functions and their utility in tackling complex problems, including the \u003cstrong\u003eCauchy problem\u003c\/strong\u003e.\u003c\/p\u003e\n\u003cp\u003eFriedman’s approach to \u003cstrong\u003egeneralized functions\u003c\/strong\u003e and \u003cstrong\u003edistributions\u003c\/strong\u003e provides clarity and depth, making this book essential for anyone studying \u003cstrong\u003efunctional analysis\u003c\/strong\u003e and \u003cstrong\u003epartial differential equations\u003c\/strong\u003e. The \u003cstrong\u003eillustrated edition\u003c\/strong\u003e enriches the learning experience by visually representing the abstract concepts discussed in the text.\u003c\/p\u003e\n\u003cp\u003eThe book is specifically tailored for \u003cstrong\u003eupper-level undergraduates\u003c\/strong\u003e and \u003cstrong\u003egraduate students\u003c\/strong\u003e, with a background in both \u003cstrong\u003ereal\u003c\/strong\u003e and \u003cstrong\u003ecomplex variables\u003c\/strong\u003e. While \u003cstrong\u003efunctional analysis\u003c\/strong\u003e (especially \u003cstrong\u003enormed spaces\u003c\/strong\u003e) is helpful, it is not a prerequisite, as the author begins with an introductory chapter covering the necessary \u003cstrong\u003etopological space\u003c\/strong\u003e background.\u003c\/p\u003e\n\u003ch3\u003eKey Features:\u003c\/h3\u003e\n\u003cul\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eIn-depth coverage\u003c\/strong\u003e of the theory of \u003cstrong\u003egeneralized functions\u003c\/strong\u003e and \u003cstrong\u003edistributions\u003c\/strong\u003e\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eApplications\u003c\/strong\u003e to solving partial differential equations, with a focus on problems like the \u003cstrong\u003eCauchy problem\u003c\/strong\u003e and \u003cstrong\u003eGoursat problem\u003c\/strong\u003e\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003eTreatment of \u003cstrong\u003efundamental solutions\u003c\/strong\u003e and the \u003cstrong\u003eexistence and differentiality of solutions\u003c\/strong\u003e\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003eWritten for \u003cstrong\u003eupper-level undergraduates\u003c\/strong\u003e and \u003cstrong\u003egraduate students\u003c\/strong\u003e, assuming a solid background in real and complex variables\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eIllustrated edition\u003c\/strong\u003e to enhance understanding of abstract mathematical concepts\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003eSupplementary materials including \u003cstrong\u003eend-of-chapter problems\u003c\/strong\u003e, \u003cstrong\u003ebibliographical remarks\u003c\/strong\u003e, and a \u003cstrong\u003ebibliography\u003c\/strong\u003e for further research\u003c\/p\u003e\n\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003cp\u003eThis book is an invaluable resource for anyone seeking a clear and rigorous introduction to the theory and applications of \u003cstrong\u003egeneralized functions\u003c\/strong\u003e and \u003cstrong\u003edistributions\u003c\/strong\u003e in the context of \u003cstrong\u003epartial differential equations\u003c\/strong\u003e.\u003c\/p\u003e","brand":"Dover","offers":[{"title":"Default Title","offer_id":49939479134512,"sku":"Sarat_9780486446103","price":1422.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0690\/9968\/4144\/files\/dover-book-default-title-generalized-functions-and-partial-differential-equations-dover-books-on-mathematics-41286213337392.jpg?v=1775948377","url":"https:\/\/www.retailmaharaj.com\/products\/generalized-functions-and-partial-differential-equations-dover-books-on-mathematics","provider":"Retail Maharaj","version":"1.0","type":"link"}